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Finding the Fourth Proportional to 97.50, 146.28 and 58.92

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Solution

The fourth proportional to 97.50, 146.28 and 58.92 is: 88.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 146.28 = 58.92 : x
  2. Step 2: Convert to fraction form
    97.50/146.28 = 58.92/x
  3. Step 3: Cross multiply
    97.50x = 146.28 × 58.92
  4. Step 4: Simplify right side
    97.50x = 8,618.82
  5. Step 5: Solve for x
    x = 8,618.82/97.50
  6. Step 6: Final answer
    x = 88.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.